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120 Institute of Actuaries. [Jan. 1859. 

x+n receives=m'(j; — da^+„) + F{l +aj,+„), 
gives up^m {v — cla^+„), 

,_ m{v—da,^„)—F{l + a^^ „) 


=m-— . 

Upon the whole, I think many of your readers will admit, that, with a 
complete set of temporary annuities, the foregoing problems, as expressed 
and solved by the columnar notation, do not show any material advantage 
over the notation adopted by 

Edinburgh, November, 1858. 



Pirst Ordinary Meeting, Session 1858. — Monday, 29th Noveviber, 1858. 

Chakles Jellicob, Esq., Vice-President, in the Chair. 

The minutes of the last annual general meeting were read and confirmed. 
The Secretary announced various donations to the library. 
Mr. Farren read a paper " On the improvement of life contingency calcula- 
tions. (Part II.) The system of dependent risks." 

Second Ordinary Meeting. Session 1858. — Monday, 27th Becember, 1858. 

Robert Tucker, Esq., Vice-President, in the Chair. 

The minutes of the last ordinary meeting were read and confirmed. 
The Secretary announced several donations to the library. 
The following candidates, duly nominated at the last ordinary meeting, wore 
elected members of the Institute, viz. : — 

Official Associate — Benjamin Henderson. 


Reginald Horace Allen. 
William Booth. 
Thomas Hindhaugh Fleming. 
William Matthew Makeham. 

John Saunders Muir, F.R.A.S. 
William Charles MuUins. 
George Charles Silk. 
William Seaman Thomson. 

William George Wilks. 

Mr. Hodge read a paper " On the rates of interest for the use of money in 
ancient and modern times. (Part III.)"